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Finding the Fourth Proportional to 11,644, 17,466.12 and 2,878.90

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Solution

The fourth proportional to 11,644, 17,466.12 and 2,878.90 is: 4,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644 : 17,466.12 = 2,878.90 : x
  2. Step 2: Convert to fraction form
    11,644/17,466.12 = 2,878.90/x
  3. Step 3: Cross multiply
    11,644x = 17,466.12 × 2,878.90
  4. Step 4: Simplify right side
    11,644x = 50,283,212.87
  5. Step 5: Solve for x
    x = 50,283,212.87/11,644
  6. Step 6: Final answer
    x = 4,318.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.